Overview

This book is the companion text to Simulating Fuzzy Systems which investigated discrete fuzzy systems through crisp discrete simulation. The current book studies continuous fuzzy dynamical systems using crisp continuous simulation. We start with a crisp continuous dynamical system whose evolution depends on a system of ordinary differential equations (ODEs). The system of ODEs contains parameters many of which have uncertain values. Usually point estimators for these uncertain parameters are used, but the resulting system will not display any uncertainty associated with these estimators. Instead we employ fuzzy number estimators, constructed from expert opinion or from data, for the uncertain parameters. Fuzzy number estimators produces a system of fuzzy ODEs to solve whose solution will be fuzzy trajectories for the variables. We use crisp continuous simulation to estimate the trajectories of the support and core of these fuzzy numbers in a variety of twenty applications of fuzzy dynamical systems. The applications range from Bungee jumping to the AIDS epidemic to dynamical models in economics.

Full Product Details

Author:   James J. Buckley ,  Leonard J. Jowers
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of hardcover 1st ed. 2006
Volume:   188
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9783642066689

ISBN 10:   3642066682
Pages:   202
Publication Date:   12 February 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD  
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Table of Contents

Fuzzy Sets.- Fuzzy Estimation.- Fuzzy Systems.- Continuous Simulation Software.- Simulation Optimization.- Predator/Prey Models.- An Arm’s Race Model.- Bungee Jumping.- Spread of Infectious Disease Model.- Planetary Motion.- Human Cannon Ball.- Electrical Circuits.- Hawks, Doves and Law-Abiders.- Suspension System.- Chemical Reactions.- The AIDS Epidemic.- The Machine/Service Queuing Model.- A Self-Service Queuing Model.- Symbiosis.- Supply and Demand.- Drug Concentrations.- Three Species Competition.- Flying a Glider.- The National Economy.- Sex Structured Population Models.- Summary and Future Research.- Matlab/Simulink Commands for Graphs.

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